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Finding the Third Proportional to 1,785 and 3,873.75

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Solution

The third proportional to 1,785 and 3,873.75 is: 8,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785 : 3,873.75 = 3,873.75 : x
  2. Step 2: Convert to fraction form
    1,785/3,873.75 = 3,873.75/x
  3. Step 3: Cross multiply
    1,785x = 3,873.75 × 3,873.75
  4. Step 4: Simplify right side
    1,785x = 15,005,939.06
  5. Step 5: Solve for x
    x = 15,005,939.06/1,785
  6. Step 6: Final answer
    x = 8,406.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.